The Sixth Moment of Random Determinants
Faculty of Mathematics and Physics
Zelin Lv and Aaron Potechin
The University of Chicago
Chicago, IL 60637
We determine the sixth moment of the determinant of an asymmetric
n × n
random matrix where the entries are drawn independently
from an arbitrary distribution Ω over R with mean
0. Furthermore, we derive the asymptotic behavior of the sixth moment
of the determinant as the size of the matrix tends to infinity.
Full version: pdf,
(Concerned with sequences
October 3 2022; revised versions received February 24 2023; June 13 2023; June 15 2023.
Published in Journal of Integer Sequences,
June 17 2023.
Journal of Integer Sequences home page